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Paper Citation Record · LEDGER

Compact symmetric triads and symmetric triads with multiplicities

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2506.02511.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.02511 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:30:19.415921Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c62094ee-bbb8-4640-92ff-ab7f00038abf · outbound

This paper cites Baba and O.

Compact symmetric triads and symmetric triads with multiplicities Baba and O

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.889072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 910ded0c-6482-4949-bc30-82f93d0353cf · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.872587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation bd26753d-c852-4055-bbdc-8af39a48dcdb · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.857188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.287206Z digest=sha256:c6c3c30975a1cbb56b55318af3a1245a557e7d0943ab00026e9c8a6d98c2963a

Observation f8b3278b-ec6a-4359-b4c6-5fd50dded4ce · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.841053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.292264Z digest=sha256:88283611dbfc9487a7d7af2e9042d0e545e127967c7fb6639bc280dd8858b117

Observation 57a62f17-d54b-40e0-888f-5300fd4bd6b7 · outbound

This paper cites Berger, Les espaces symmetriques noncompacts, Ann.

Compact symmetric triads and symmetric triads with multiplicities Berger, Les espaces symmetriques noncompacts, Ann

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.826132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.297500Z digest=sha256:a1d7aeb2c175a774b6bcede4162063a271d725ac7f02221c3a261b033bc45685

Observation d0338455-713f-4f30-b669-491e536bf74f · outbound

This paper cites Bourbaki, Groupes et algebres de Lie, Hermann, Paris, 1978.

Compact symmetric triads and symmetric triads with multiplicities Bourbaki, Groupes et algebres de Lie, Hermann, Paris, 1978

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.810792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.302195Z digest=sha256:37f0387b8cc68c754bb075fab978bd6045ea5c636c8256a94c8f656c788682cb

Observation 98638ec1-8829-448d-8f2f-05fd5cf10c43 · outbound

This paper cites Conlon, Remarks on commuting involutions, Proc.

Compact symmetric triads and symmetric triads with multiplicities Conlon, Remarks on commuting involutions, Proc

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.795903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.308149Z digest=sha256:465b87fb20420053b90f68ade1048abdc7bcf79bcd06709a170918871ae39f7f

Observation 809790c9-416d-4e79-a459-d3b6cd39e977 · outbound

This paper cites Harvey and H.

Compact symmetric triads and symmetric triads with multiplicities Harvey and H

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.780926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.313648Z digest=sha256:5f865e04a00ef928506b8f36f6d2848277d232daecda60f3df07df29acf24126

Observation 613ab4c1-a2f3-4295-8c07-f2c5f853d0b0 · outbound

This paper cites Heintze, R.

Compact symmetric triads and symmetric triads with multiplicities Heintze, R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.766651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.318550Z digest=sha256:b8d0a80fb4df0b89b4a11714a62fc8fc8139d4dca6ae777a102d901a540038d0

Observation 0ce4e5e8-e793-42b1-880c-5301706b2360 · outbound

This paper cites Helgason, Differential geometry, Lie groups, and symmetric spaces, Academic Press, 1978.

Compact symmetric triads and symmetric triads with multiplicities Helgason, Differential geometry, Lie groups, and symmetric spaces, Academic Press, 1978

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.751741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.323802Z digest=sha256:f27ac5eb5609bf3358974d6e9a8c0b775206b77332513079e57f44978316a7ea

Observation dac2aa23-94c0-453e-8cde-a1073304de5b · outbound

This paper cites Hermann, Totally geodesic orbits of groups of isometries, Nederl.

Compact symmetric triads and symmetric triads with multiplicities Hermann, Totally geodesic orbits of groups of isometries, Nederl

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.736989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.328759Z digest=sha256:1264b2dcea4b005271344692d7f112fe0ce66f9260b67ae9ada84faf8163c11b

Observation 6dc24433-8fd2-44de-af06-4afa74e2cac3 · outbound

This paper cites Ikawa, The geometry of symmetric triad and orbit spaces of Hermann actions, J.

Compact symmetric triads and symmetric triads with multiplicities Ikawa, The geometry of symmetric triad and orbit spaces of Hermann actions, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.722721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.334073Z digest=sha256:9f94212084614ff61abfa7262031f1e4bf1169ba6c0187d5388653b262cbf641

Observation d9376861-6c88-4cce-bc31-4e5a67e71ea8 · outbound

This paper cites Ikawa,σ-actions and symmetric triads, Tohoku Math J.,70, no.

Compact symmetric triads and symmetric triads with multiplicities Ikawa,σ-actions and symmetric triads, Tohoku Math J.,70, no

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.708390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.338563Z digest=sha256:7d2896845fc1b19cf85c5f5b78d0f56924484e045f145d1feeeaec5c55de3a0d

Observation eea4ae2a-b775-4d7c-bcb7-e62ee1c8ba0d · outbound

This paper cites Ikawa, The geometry of orbits of Hermann type actions, Contemporary Perspectives in Differential Geometry and its Related Fields, (2018), 67–78.

Compact symmetric triads and symmetric triads with multiplicities Ikawa, The geometry of orbits of Hermann type actions, Contemporary Perspectives in Differential Geometry and its Related Fields, (2018), 67–78

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.691559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.343733Z digest=sha256:d6149d241b1b1a36916a5477ff80fcd5de51272e67c062b6d831e929da24c39f

Observation a20fe446-23a7-4f11-9d97-78ce12aa539a · outbound

This paper cites Ikawa, T.

Compact symmetric triads and symmetric triads with multiplicities Ikawa, T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.676780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.348280Z digest=sha256:1a2add172543a329370584a1f72220d82276b1dc73df94cfcc60def53fd82fd9

Observation 8846fb34-2388-4fd2-8303-01a5880ce927 · outbound

This paper cites Ikawa, M.

Compact symmetric triads and symmetric triads with multiplicities Ikawa, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.661132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.353140Z digest=sha256:de745fe922e033474c9a424fc566aeb787548ad8151dd5f98a90cba20e9a27b2

Observation e75ffe9f-99b1-4a06-981a-660a58a9f95b · outbound

This paper cites Klein, Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram, Geom Dedicata138(2009), 25–50.

Compact symmetric triads and symmetric triads with multiplicities Klein, Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram, Geom Dedicata138(2009), 25–50

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.646141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.357445Z digest=sha256:0574d8862216cdf67ccaaa10cc2999681dd990197d5ce522413c8acd3d3039fb

Observation 0aa08412-9d7f-4901-ba00-3d0358622481 · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.630424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9bac938d-fb47-4bed-b7a8-d95e8d30526c · outbound

This paper cites Kobayashi and K.

Compact symmetric triads and symmetric triads with multiplicities Kobayashi and K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.615406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.367253Z digest=sha256:9146c926431ebf345fdc843be239637c8d2d793623029aa58e098c9a9b20ea4c

Observation 0a645628-f89e-4149-95da-5d2502dd4d9a · outbound

This paper cites Kollross, A classification of hyperpolar and cohomogeneity one actions, Trans.

Compact symmetric triads and symmetric triads with multiplicities Kollross, A classification of hyperpolar and cohomogeneity one actions, Trans

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.600333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.372586Z digest=sha256:a23d39a2a3f4d7fbca24da28db74a7c6cf89f8c4dc622818b2006ad1022c578f

Observation 41e96546-ba10-42fe-a9f5-2ae4408c333f · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.584932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8d3d1447-b0b9-4750-952a-db767ed190f0 · outbound

This paper cites Matsuki, Double Coset Decompositions of Reductive Lie Groups Arising from Two Involutions, J.

Compact symmetric triads and symmetric triads with multiplicities Matsuki, Double Coset Decompositions of Reductive Lie Groups Arising from Two Involutions, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.570513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.382679Z digest=sha256:15b5530458c0899425084f430b8a19162a76e114d846dab8298eeac76c18d5a7

Observation b0f164f1-9c32-4cd0-a2fd-f14f04e1dbc6 · outbound

This paper cites Matsuki, Classification of two involutions on semisimple compact Lie groups and root systems, J.

Compact symmetric triads and symmetric triads with multiplicities Matsuki, Classification of two involutions on semisimple compact Lie groups and root systems, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.554764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.387249Z digest=sha256:ac04cae9dc966970646c6e44f4ae3845a7c3be1df2da2af33e9daa5525f58784

Observation 970691f7-cd4b-45bc-a7e0-9b10065984a9 · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.538270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.392157Z digest=sha256:e7c4b95ce84e2c22b9eb3a103a0a8eaa13f6074b5ad489a897febe0fd51df3ae

Observation 1f7764a1-e5b1-4702-8a9d-aa91dcc40752 · outbound

This paper cites Ohno, A sufficient condition for orbits of Hermann actions to be weakly reflective, Tokyo J.

Compact symmetric triads and symmetric triads with multiplicities Ohno, A sufficient condition for orbits of Hermann actions to be weakly reflective, Tokyo J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.520294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.396908Z digest=sha256:8852b5553e94e664204e4d463a2145c639a9b72861eff7c0d5bd071e51e9f691

Observation 99f936f6-28a1-4558-a66a-9579e3ed7b25 · outbound

This paper cites Ohno, Geometric Properties of Orbits of Hermann actions, Tokyo J.

Compact symmetric triads and symmetric triads with multiplicities Ohno, Geometric Properties of Orbits of Hermann actions, Tokyo J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.504915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.401538Z digest=sha256:418881f1bdccf0ad30077fd4bac999cf81f7dfa9193a6ee259c3a0bbd80a89bc

Observation acbd1d1e-e43e-4762-a3b9-d5ae341fdcd5 · outbound

This paper cites an unresolved cited work.

Compact symmetric triads and symmetric triads with multiplicities Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:30:19.488788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.406804Z digest=sha256:1361d93df196a087a5368655f267eaa16a543c023db504e3727200ea1576819f

Observation 17ad6040-8b27-4caf-b114-270be9a99e8d · outbound

This paper cites Takeuchi, Modern spherical functions, Translations of mathematical monographs,135, Amer.

Compact symmetric triads and symmetric triads with multiplicities Takeuchi, Modern spherical functions, Translations of mathematical monographs,135, Amer

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.473357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.411625Z digest=sha256:7f1d2d642f288d2e119421ff9b7dd8629f00a65a2a27a8d27bc4a71cadceb82d

Observation 8c7325d4-d4a8-4464-98db-9f2f21cdfad6 · outbound

This paper cites Warner, Harmonic analysis on semi-simple Lie groups.

Compact symmetric triads and symmetric triads with multiplicities Warner, Harmonic analysis on semi-simple Lie groups

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:30:19.456054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:30:19.415921Z digest=sha256:14c961c2fbea4de8fa90234c69491f43f4beec619a633c98acb6c89ad571f7f5

Pith citing papers

No inbound Pith citation observations are available.